Prime p₀= 3031644996347909567 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 20 10 74 10 18 2 100 38 100 2 18 10 74 10 20 (?)
a_n: 0 20 30 104 114 132 134 234 272 372 374 392 402 476 486 506
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 506
Found by: Alnitak2019
db: batch=82, k=16, 20 10 74 10 18 2 100 38

STPT(10)	3031643734149316499	0 2 48 50 90 92 132 134 180 182	-1262198593068
SPT(16)	3031643825877840541	0 18 90 118 168 172 196 202 216 222 246 250 300 328 400 418	-1170470069026
STPT(10)	3031643939597258309	0 2 42 44 60 62 78 80 120 122	-1056750651258
STPT(10)	3031643970936610031	0 2 36 38 78 80 120 122 156 158	-1025411299536
STPT(10)	3031644302156075519	0 2 42 44 90 92 138 140 180 182	-694191834048
SPT(16)	3031644410253410123	0 8 14 56 84 90 144 170 174 200 254 260 288 330 336 344	-586094499444
TPT(14)	3031645047775579811	0 2 90 92 156 158 198 200 246 248 270 272 336 338	51427670244
SPT(16)	3031645613070840247	0 96 124 130 136 154 180 196 234 250 276 294 300 306 334 430	616722930680
STPT(10)	3031645749048569489	0 2 48 50 90 92 132 134 180 182	752700659922
TPT(14)	3031646044387066241	0 2 18 20 36 38 90 92 120 122 126 128 156 158	1048039156674
TPT(14)	3031646514111247727	0 2 60 62 114 116 144 146 210 212 312 314 354 356	1517763338160